What is the Least Common Multiple of 8052 and 8064?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 8052 and 8064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8052 and 8064, than apply into the LCM equation.

GCF(8052,8064) = 12
LCM(8052,8064) = ( 8052 × 8064) / 12
LCM(8052,8064) = 64931328 / 12
LCM(8052,8064) = 5410944

Least Common Multiple (LCM) of 8052 and 8064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8052 and 8064. First we will calculate the prime factors of 8052 and 8064.

Prime Factorization of 8052

Prime Factorization of 8064

Now multiplying the highest exponent prime factors to calculate the LCM of 8052 and 8064.

LCM(8052,8064) = 2⁷ × 3² × 11¹ × 61¹ × 7¹
LCM(8052,8064) = 5410944